Question

The thermal capacity of 100g lead shot is (specific heat of lead is $0.3cal/{{g}^{o}}C$
$\begin{aligned} & A.\text{ }3cal{{/}^{o}}C \\\ & B.\text{ }30cal{{/}^{o}}C \\\ & C.\text{ }300cal{{/}^{o}}C \\\ & D.\text{ }0.3cal{{/}^{o}}C \\\ \end{aligned}$

Answer 1

In order to solve this question we will use the relation between thermal capacity and specific heat of material and using that we will substitute the given values and solve for the required answer.

Formula used:
Thermal capacity = mass × specific heat.

Complete solution:
$\to$ It is given that mass of lead shot, m= 100g
$\to$ And specific heat of lead is $0.3cal/{{g}^{o}}C$
$\to$ Now formula for thermal capacity is
$Q=m\times c$
$\to$ Thermal capacity = mass × specific heat.
$\to$ Now let’s put all the values in the formula,
$\begin{aligned} & Q=100\times 0.3 \\\ & Q=30cal{{/}^{o}}C \\\ \end{aligned}$
$\to$ So the thermal capacity of 100g lead is $30cal{{/}^{o}}C$.

Hence, option (B) is correct.

Additional information:
$\to$ How heat capacity of a body is related to specific heat capacity of its substance n.
$\to$ The formula that will tell the relation between heat capacity and specific heat capacity is Q = mc ∆T where Q = heat capacity of the substance and c = specific heat capacity equation shows relation between them.
$\to$ Now see the below equation
$\to$ Q = mc ∆T …. (1)
Where m = mass
C = specific heat capacity
∆T = change in the temperature
Q = heat capacity of the substance.
$\to$ From the above equation we can tell that heat capacity Q is defined as the amount of heat needed to supply a given mass to produce unit change in temperature.
$\to$ Heat capacity: - Can be defined as the term to increase the temperature of a substance by the unit degree of temperature (Celsius or fare hit).
$\to$ From the above equation we can state that,
$\to$ Specific heat capacity is heat capacity y required to change temperature of one unit mass of the substance.
$\to$ There is a small difference between two definitions but if we look at the equation we can easily relate both the terms.

Note:
Thermal capacity is the property of a material to absorb heat when it is heated and to release when it is cooled it can be given by the product of specific heat of a given material and mass of that same material and temperature difference before and after heating or cooling here specific heat capacity of material can be defined as it is the amount of heat to be supplied to or taken out of the unit mass of a system in order to increase or decrease its temperature by one degree or we can simply define as the energy required to increase temperature of material of a certain mass by ${{1}^{o}}C$.